1. Let w represent an employee’s wages.
Check It Out! Example 4
A store’s employees earn at least $8.50 per hour. Define a variable and write an inequality for the amount the employees may earn per hour. Graph the solutions.
Let w represent an employee’s wages.
An employee earns
at least
$8.50 w ≥
8.50
w ≥ 8.5 4 6 8 10 12 −2 2 14 16 18
8.5

2. Draw a solid circle at 0 and16.
Marcus has a gift card. He has already used $17 of the of the total value, which was $25. Write, solve, and graph an inequality to show how much more he can spend.
g + 17 ≤ 25
Since 14 is added to g, subtract 14 from both sides to undo the addition.
– 17 – 17
g + 0 ≤ 8
g ≤ 8
Draw a solid circle at 0 and16. 2 4 6 8 10 12 14 16 18
Shade all numbers greater than 0 and less than 16.

3. Lesson Quiz: Part II
4. A certain restaurant has room for 120 customers. On one night, there are 72 customers dining. Write and solve an inequality to show how many more people can eat at the restaurant.
x + 72 ≤ 120; x ≤ 48, where x is a natural number

4. A pitcher holds 128 ounces of juice
A pitcher holds 128 ounces of juice. What are the possible numbers of 10-ounce servings that one pitcher can fill?
10x ≤ 128
Since x is multiplied by 10, divide both sides by 10.
The symbol does not change.
x ≤ 12.8
The pitcher can fill 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, or 12 servings.

5. Jill has a $20 gift card to Powell’s Bookstore where paperback books are $4.30 each. What are the possible numbers of books that Jill can buy?
4.30p ≤ 20.00
Since p is multiplied by 4.30, divide both sides by The symbol does not change.
p ≤ 4.65…
Since Jill can buy only whole numbers of books, she can buy 0, 1, 2, 3, or 4 paperback books.

6. Rent-A-Ride costs less when the number of miles is more than 85.
Example 3
To rent a certain vehicle, Rent-A-Ride charges $55.00 per day with unlimited miles. The cost of renting a similar vehicle at We Got Wheels is $38.00 per day plus $0.20 per mile. For what number of miles in the cost at Rent-A-Ride less than the cost at We Got Wheels?
–38 –38
55 < m
Since 38 is added to 0.20m, subtract 38 from both sides to undo the addition.
17 < 0.20m
Since m is multiplied by 0.20, divide both sides by 0.20 to undo the multiplication.
85 < m
Rent-A-Ride costs less when the number of miles is more than 85.

7. Lesson Quiz: Part II
5. A video store has two movie rental plans. Plan A includes a $25 membership fee plus $1.25 for each movie rental. Plan B costs $40 for unlimited movie rentals. For what number of movie rentals is plan B less than plan A?
more than 12 movies

8. is greater than or equal to
Check It Out! Example 3
The average of Jim’s two test scores must be at least 90 to make an A in the class. Jim got a 95 on his first test. What grades can Jim get on his second test to make an A in the class?
Let x represent the test score needed. The average score is the sum of each score divided by 2.
First test score
plus
second test score
divided by
number of scores
is greater than or equal to
total score
(95 + x)  2 ≥ 90

9. Check It Out! Example 3 Continued
Since 95 + x is divided by 2, multiply both sides by 2 to undo the division.
95 + x ≥ 180
Since 95 is added to x, subtract 95 from both sides to undo the addition.
– –95
x ≥ 85
The score on the second test must be 85 or higher.